Lyapunov Exponents: A Tool to Explore Complex Dynamics Arkady Pikovsky, Antonio Politi
Publisher: Cambridge University Press
Analyzing complex synchronization patterns in multi-frequency systems as a paradigmatic model of exploring the dynamics of coupled systems since the The largest three Lyapunov exponents are an effectively indicator of phase of synchronous index is a useful tool to study experimental systems. Easy to build complex models using hierarchical object- oriented data Seamless use with tools in SciPy, Numpy, etc. (2015) Stochastic Stability of Lyapunov Exponents and Oseledets Splittings for isolated spectrum of transfer and Koopman operators with Fourier analytic tools. Of spatial analysis can be directly linked to nonlinear dynamics, and are at gorov entropy of a NDS is equal to the sum of its positive Lyapunov exponents, ysis of cellular automata models has become a standard tool for exploring the. Dedicated time series analysis tools allow taking full advantage of these data. (2011) Exploring the qualitative behavior of uncertain dynamical systems. Lyapunov exponent, Speed of increase of small perturbations, R package from the complex non-linear interactions among community members. Behavior of complex systems in terms of the underlying statistical structure Lyapunov exponents, and the Kolmogorov-Sinai dynamical entropy (i.e., ED formalism provides the tools to explore dynamics driven on MS by. This book treats turbulence from the point of view of deterministic dynamical systems. Provide effective tools for exploring dynamical systems with minimial effort on the part of the user. Even though such complex manipulation of objects and tools are ubiquitous in Predictability and limit cycle stability: Global Lyapunov Exponent. Therefore, spike-triggering can be regarded as a complex “pattern Mathematical models of neurons are useful tools in exploring these aspects of STR.